On some I-convergent double sequence spaces of fuzzy real numbers defined by modulus function

• Autorzy: Das, M.
• Języki publikacji: EN

Abstrakty

EN

In this article our aim to introduce some new I-convergent double sequence spaces of fuzzy real numbers defined by modulus function and studies their some topological and algebraic properties. Also we establish some inclusion relations.

Słowa kluczowe

EN

fuzzy real number; I-convergence; double sequence; modulus function

• Czasopismo: Fasciculi Mathematici
• Rocznik: 2015
• Tom: Nr 55
• Strony: 19--28
• Opis fizyczny: Bibliogr. 17 poz.

Twórcy

autor

Das, M.

• Department of Mathematics Bajali College(Gauhati University) Assam, India,

Bibliografia

• [1] Fridy J.A., On statistical convergence, Analysis, 5(1985), 301-313.
• [2] Kaleva O., Seikkala S., On fuzzy metric spaces, Fuzzy Sets and Systems, 12(1984), 215-229.
• [3] Kamthan P.K., Gupta M., Sequence Spaces and Series, Marcel Dekkar, 1980.
• [4] Kostyrko P., Šalát T., Wilczyńki W., I-convergence, Real Anal. Exchange, 26(2000-2001), 669-686.
• [5] Kizmaz H., On certain sequence spaces, Canad. Math. Bull., 24(2)(1981), 169-176.
• [6] Krasnoselkii M.A., Rutitsky Y.B., Convex functions and Orlicz functions, Groningen, Netherlands, 1961.
• [7] Lindenstrauss J., Tzafriri L., On Orlicz sequence spaces, Israel J. Math., 101(1971), 379-390.
• [8] Matloka M., Sequences of fuzzy numbers, BUSEFAL, 28(1986), 28-37.
• [9] Nakano H., Modular sequence spaces, Proc. Japan Acad., 27(1951), 508-512.
• [10] Šalát T., Tripathy B.C., Ziman M., On some properties of I-convergence, Tatra Mountain Publ. Math., 28(2004), 279-286.
• [11] Sarabadan S., Talebi S., On I-convergence of double sequences in 2-normed spaces, Int. J. Contemp. Math. Sciences, 7(14)(2012), 673-684.
• [12] Tripathy B.K., Tripathy B.C., On I-convergent double sequences, Soo-chow Jour. Math., 31(4)(2005), 549-560.
• [13] Tripathy B.C., Sarma B., Statistically convergent double sequence spaces defined by Orlicz function, Soochow Journal of Mathematics, 32(2)(2006), 211-221.
• [14] Tripathy B.C., Sarma B., Some double sequence spaces of fuzzy numbers defined by Orlicz functions, Acta Math. Scientia, Ser. B, 31(1)(2011), 134-140.
• [15] Tripathy B.C., Das P.C., Some classes of difference sequences of fuzzy real numbers, Fasc. Math., 40(2008), 105-117.
• [16] Zadeh L.A., Fuzzy sets, Inform and Control, 8(1965), 338-353.
• [17] Zygumd A., Trigonometric Series, vol. II, Cambridge, 1993.

Identyfikatory

DOI

10.1515/fascmath-2015-0011